Rock and Punk - YES.
Emo and Screamo - Ehhh...
Pop, R&B, Rap - Pop, yes to some extent. R&B, not really. Rap, hell no! Though I do like Run DMC even though they're so old-school.

I also like jazz music, and folk, or anything influenced by either. Those two genres are definitely underappreciated.
I've kind of stopped listening to kpop because it seems to be getting worse and worse. I listen to all the big names, and the artists who've been around for a while like BoA and DBSK and Wonder Girls, but definitely not all this new crap they come out with.